Finding the Third Proportional to 85,090 and 181,764

Step by Step Solution

1. Step 1: Write the proportion equation
   85,090 : 181,764 = 181,764 : x
2. Step 2: Convert to fraction form
   85,090/181,764 = 181,764/x
3. Step 3: Cross multiply
   85,090x = 181,764 × 181,764
4. Step 4: Simplify right side
   85,090x = 33,038,151,696
5. Step 5: Solve for x
   x = 33,038,151,696/85,090
6. Step 6: Final answer
   x = 388,273.02